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Finding the Fourth Proportional to 25,857.84, 38,744.64 and 18,075.36

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Solution

The fourth proportional to 25,857.84, 38,744.64 and 18,075.36 is: 27,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.84 : 38,744.64 = 18,075.36 : x
  2. Step 2: Convert to fraction form
    25,857.84/38,744.64 = 18,075.36/x
  3. Step 3: Cross multiply
    25,857.84x = 38,744.64 × 18,075.36
  4. Step 4: Simplify right side
    25,857.84x = 700,323,316.07
  5. Step 5: Solve for x
    x = 700,323,316.07/25,857.84
  6. Step 6: Final answer
    x = 27,083.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.